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In this paper, we introduce a method called graph fusion embedding, designed for multi-graph embedding with shared vertex sets. Under the framework of supervised learning, our method exhibits a remarkable and highly desirable synergistic…

社会与信息网络 · 计算机科学 2024-06-27 Cencheng Shen , Carey E. Priebe , Jonathan Larson , Ha Trinh

Network-valued data are encountered in a wide range of applications and pose challenges in learning due to their complex structure and absence of vertex correspondence. Typical examples of such problems include classification or grouping of…

机器学习 · 计算机科学 2021-11-09 Mahalakshmi Sabanayagam , Leena Chennuru Vankadara , Debarghya Ghoshdastidar

Pairwise network comparison is essential for various applications, including neuroscience, disease research, and dynamic network analysis. While existing literature primarily focuses on comparing entire network structures, we address a…

统计方法学 · 统计学 2025-10-21 Runbing Zheng

In an era of unprecedented deluge of (mostly unstructured) data, graphs are proving more and more useful, across the sciences, as a flexible abstraction to capture complex relationships between complex objects. One of the main challenges…

无序系统与神经网络 · 物理学 2016-10-17 Alaa Saade

A wide range of tasks in network analysis, such as clustering network populations or identifying anomalies in temporal graph streams, require a measure of the similarity between two graphs. To provide a meaningful data summary for…

物理与社会 · 物理学 2024-10-15 Helcio Felippe , Federico Battiston , Alec Kirkley

Graph neural networks use relational information as an inductive bias to enhance prediction performance. Not rarely, task-relevant relations are unknown and graph structure learning approaches have been proposed to learn them from data.…

机器学习 · 计算机科学 2025-05-29 Alessandro Manenti , Daniele Zambon , Cesare Alippi

Time-varying graph signal recovery has been widely used in many applications, including climate change, environmental hazard monitoring, and epidemic studies. It is crucial to choose appropriate regularizations to describe the…

信号处理 · 电气工程与系统科学 2024-05-17 Weihong Guo , Yifei Lou , Jing Qin , Ming Yan

Graph compression is a data analysis technique that consists in the replacement of parts of a graph by more general structural patterns in order to reduce its description length. It notably provides interesting exploration tools for the…

数据结构与算法 · 计算机科学 2018-07-19 Robin Lamarche-Perrin

Graph matching aims at finding the vertex correspondence between two unlabeled graphs that maximizes the total edge weight correlation. This amounts to solving a computationally intractable quadratic assignment problem. In this paper we…

机器学习 · 统计学 2019-07-23 Zhou Fan , Cheng Mao , Yihong Wu , Jiaming Xu

Technology convergence integrates distinct domains to create novel combinations, driving radical innovation that reshapes markets and industries. However, most approaches rely on pairwise networks that cannot capture multi-technology…

物理与社会 · 物理学 2026-02-27 Yiwei Huang , Shuqi Xu , Shimin Cai , Linyuan Lü

Analysis of the fairness of machine learning (ML) algorithms recently attracted many researchers' interest. Most ML methods show bias toward protected groups, which limits the applicability of ML models in many applications like crime rate…

机器学习 · 计算机科学 2022-11-03 Haris Mansoor , Sarwan Ali , Shafiq Alam , Muhammad Asad Khan , Umair ul Hassan , Imdadullah Khan

Counterfactual explainability seeks to uncover model decisions by identifying minimal changes to the input that alter the predicted outcome. This task becomes particularly challenging for graph data due to preserving structural integrity…

机器学习 · 计算机科学 2025-07-08 Bardh Prenkaj , Efstratios Zaradoukas , Gjergji Kasneci

We consider the task of estimating the latent vertex correspondence between two edge-correlated random graphs with generic, inhomogeneous structure. We study the so-called \emph{$k$-core estimator}, which outputs a vertex correspondence…

统计理论 · 数学 2023-02-13 Miklós Z. Rácz , Anirudh Sridhar

We study a well known noisy model of the graph isomorphism problem. In this model, the goal is to perfectly recover the vertex correspondence between two edge-correlated Erd\H{o}s-R\'{e}nyi random graphs, with an initial seed set of…

机器学习 · 计算机科学 2018-07-27 Elchanan Mossel , Jiaming Xu

Embedding a web-scale information network into a low-dimensional vector space facilitates tasks such as link prediction, classification, and visualization. Past research has addressed the problem of extracting such embeddings by adopting…

社会与信息网络 · 计算机科学 2018-03-14 Anton Tsitsulin , Davide Mottin , Panagiotis Karras , Emmanuel Müller

Signal processing on graphs has received a lot of attention in the recent years. A lot of techniques have arised, inspired by classical signal processing ones, to allow studying signals on any kind of graph. A common aspect of these…

信息论 · 计算机科学 2016-05-18 Bastien Pasdeloup , Michael Rabbat , Vincent Gripon , Dominique Pastor , Grégoire Mercier

Graph pattern mining methods can extract informative and useful patterns from large-scale graphs and capture underlying principles through the overwhelmed information. Contrast analysis serves as a keystone in various fields and has…

社会与信息网络 · 计算机科学 2018-02-20 Jingbo Shang , Xiyao Shi , Meng Jiang , Liyuan Liu , Timothy Hanratty , Jiawei Han

We consider the problem of recovering a latent graph where the observations at each node are \emph{aliased}, and transitions are stochastic. Observations are gathered by an agent traversing the graph. Aliasing means that multiple nodes emit…

Graph matching or quadratic assignment, is the problem of labeling the vertices of two graphs so that they are as similar as possible. A common method for approximately solving the NP-hard graph matching problem is relaxing it to a convex…

最优化与控制 · 数学 2017-05-23 Nadav Dym

Modeling heterogeneous correlated time series requires the ability to learn hidden dynamic relationships between component time series with possibly varying periodicities and generative processes. To address this challenge, we formulate and…

统计方法学 · 统计学 2025-12-02 Jeshwanth Mohan , Bharath Ramsundar , Sandya Subramanian